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Finding the Third Proportional to 646,855,089 and 1,407,045,877.50

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Solution

The third proportional to 646,855,089 and 1,407,045,877.50 is: 3,060,620,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,855,089 : 1,407,045,877.50 = 1,407,045,877.50 : x
  2. Step 2: Convert to fraction form
    646,855,089/1,407,045,877.50 = 1,407,045,877.50/x
  3. Step 3: Cross multiply
    646,855,089x = 1,407,045,877.50 × 1,407,045,877.50
  4. Step 4: Simplify right side
    646,855,089x = 1,979,778,101,389,744,896
  5. Step 5: Solve for x
    x = 1,979,778,101,389,744,896/646,855,089
  6. Step 6: Final answer
    x = 3,060,620,740.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.